First, if you attend college outside the US, it’s still college and you CANNOT hide this info. There will be serious consequences when it’s discovered that you lied about your previous enrollment. So forget that idea.
Secondly, I’m confused as to how you were able to get into a really great top tier foreign school with what you describe as mediocre grades when virtually all colleges outside the US base admission on stats. I doubt they simply overlooked your history and theology grades. Those are actual classes, unlike gym and woodshop. So you are saying two AP scores and a 34 ACT got you into a very prestigious world class university. Ok.
Thirdly, yes, your parents are paying and they get a say. A big, huge say. Some parents don’t mind paying a lot of money for their child to party for four years, but it sounds like they aren’t those parents. Apply to some less expensive schools, or go to the foreign school with a great reputation. Plenty of college students have an amazing time in their college years not going to frat parties and football games. Experience THAT amazing time. Frankly, if I was your parent, I would NOT pay for the more expensive school.